Question

What is the frequency of motion of a 0.67 m long pendulum?

0.43 Hz
0.61 Hz
1.6 Hz
2.33 Hz

Answer 1

0.61 Hz

Step-by-step explanation:

A Simple pendulum has length
`l`, then it's frequency is given by
`f` =
`(1)/(2\pi) \sqrt{(g)/(l)}`

Frequency of a pendulum is the inverse of it's Time period. It denotes the number of cycles the pendulum completes in unit time.

For the given pendulum, length
`l` =
`0.67\text{ }m`,
`g` =
`9.8\text{ }(m)/(s^(2))`

`f=(1)/(2\pi)\sqrt{(9.8)/(0.67)}=0.61\text{ }Hz`

∴ Frequency of Simple pendulum = 0.61 Hz